Question

Find two consecutive even numbers such that three times the smaller added to eight times the greater comes to 170

Answer 1

Answer:

Step-by-step explanation:

Given:-

The smaller added to eight times the greater comes to 170.

To Find :-

Two consecutive even numbers.

Solution :-

Let the smaller number be n and the larger number n+2.

Then 3n+8(n+2) = 170.

⇒ 3n + 8n + 16 = 170.

⇒ 11n + 16 = 170.

⇒ 11n = 170 – 16 = 154.

⇒ n = 154/11 = 14.

Hence, the two numbers consecutive even numbers are 14 and 16.

Checking :-

= 3 × 14 + 8 × 16

= 42 + 128

= 170.

[CORRECT]